 | 1883 - Liczba stron: 248
...construct a triangle ADE equal to ABC, and having the common angle A. 2. If a straight line be diveded into any two parts, the rectangle contained by the...contained by the two parts, together with the square on the aforesaid part. 3. To divide a given straight line into two parts, so that the rectangle contained... | |
 | John Robertson (LL.D., of Upton Park sch.) - 1882 - Liczba stron: 152
...the points of section. 4. Any two angles of a triangle are together less than two right angles. 5. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts, together with the square... | |
 | College of preceptors - 1882 - Liczba stron: 528
...right-angled triangle, straight lines parallel to the sides and meeting the sides (produced if necessary). 5. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts shall be equal to the rectangle contained by the two parts together with... | |
 | Euclid, Isaac Todhunter - 1883 - Liczba stron: 428
...AB, BC, is equal to the square on AB. Wherefore, if a straight line &c. QID PROPOSITION 3. THEOREM. If a straight line be divided into any two parts,...contained by the two parts, together with the square on the aforesaid part. [I. 46. B BOOK II. 3, 4. On BC describe the square CDEB; produce ED to F, and... | |
 | 1883 - Liczba stron: 654
...on CA = sq. on BF + sq. on FL that is, the sqs. on BA and CA= twice the sq. BF (the radies). QED 2. If a straight line be divided into any two parts,...contained by the two parts, together with the square os the aforesaid part. (Prop. 3, Book II.) 3. In every triangle, the square on the side subtending... | |
 | Joseph Hughes - 1883 - Liczba stron: 568
...CA = sq. on BF + sq. on FC that is, the sqs. on В A and CA= twice the sq. BF (the radius). QEP 2. If a straight line be divided into any two parts,...contained by the two parts, together with the square on the aforesaid part. (Prop. 3, Book II.) 3. In every triangle, the square on the side subtending... | |
 | Euclides - 1883 - Liczba stron: 176
...Prop. 1, rect. L . AB = L . AC + L . CB. .-. AB . AB (ie, AB2) = AB . AC + AB . CB. QED PROP. 3. THEOR. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts will be equal to the square on that part together with the rectangle contained... | |
 | Moffatt and Paige - 1883 - Liczba stron: 602
...to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided into any two parts in the noint C. Then the squares on AB, BC shall be equal to twice the rectangle AB, BC, together with the... | |
 | Euclides, James Hamblin Smith - 1883 - Liczba stron: 376
...the line, PROPOSITION III. THEOREM. // a straight line be divided into any two parts, the rectangk contained by the whole and one of the parts is equal to the netangle contained by the two parts together with the square on the aforesaid part. J) Let the st.... | |
 | Stewart W. and co - 1884 - Liczba stron: 272
...rectangle contained by AB, AC, together with the rectangle AB, BC, is equal to the square of AB. III. — If a straight line be divided into any two parts,...together with the square of the aforesaid part. Let AB be divided into any two parts in the point C; then the rectangle AB, BC, is equal to the rectangle... | |
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If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. 
